1. (2p) Write down the equation which allows to the calculation of how a length of a material increases with temperature increase. (Equation (1) in your lab handout). Specify the meaning of each variable in this equation.

1. (2p) Specify the SI units required for each variable in the equation you wrote above.

1. (8p) Bob is an engineering student who has designed a bridge made completely out of steel.The bridge is 810 m long at the lowest recorded temperature in the area T = -50 C.Bob knows that the coefficient of linear expansion for steel is = 12 x 10^-6 C^-1. If thehighest recordedtemperature intheareaisT= 45C,howmuchshouldBobexpectthebridgetoexpand? Show all work!

1. Bobbuiltascalemodelofthebridge thatis2.327mlongatthelowesttemperature(T= -50 C) using an unknown material. When the temperature reaches the highest value(T=45C),hemeasures againthelength ofthebridgefindingthatithasexpanded L=

3.76 mm.

a) (6p) Calculate the coefficient of linear expansion of the material Bob used to make his model. Show work!